A new local and global optimization method for mixed integer quadratic programming problems |
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| Authors: | GQ Li J Quan |
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| Institution: | a Department of Mathematics, Shanghai University, Shanghai 200444, China
b School of Information Technology and Mathematical Sciences, University of Ballarat, Ballarat 3353, Victoria, Australia |
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| Abstract: | In this paper, a new local optimization method for mixed integer quadratic programming problems with box constraints is presented by using its necessary global optimality conditions. Then a new global optimization method by combining its sufficient global optimality conditions and an auxiliary function is proposed. Some numerical examples are also presented to show that the proposed optimization methods for mixed integer quadratic programming problems with box constraints are very efficient and stable. |
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| Keywords: | Mixed integer quadratic programming problem Optimization method Global optimality condition Auxiliary function |
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